FDX-Outlook Email Folders?

Does anyone know how to manage folders and import old emails from our old webmail system to the new outlook system? I was able to create new folders in outlook using my iPhone browser, but they don't show up when I'm logged in on my computer for some reason.

Also I'd like to import some of my old emails to the new system before they get rid of the old email system. Is there a good way to do that without having to email each one individually back to myself?

Thanks all.